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2025-12-11 16:09:15 UTC

LeoTsai14 on Nostr: Polyominoes are figures composed by a number of squares connecting to each other by ...

Polyominoes are figures composed by a number of squares connecting to each other by their sides, and one can go on extend the concept to a higher dimensional analog. Denote A(n,m) as the number of distinct n-dimensional polyominoes with m n-hypercubes connected to each other by their (n-1)-faces. Now fix m, the question is, do we have a recurrence relation of A(n,m) with respect to n?